%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ081^3 : TPTP v9.2.0. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:58:19 PM UTC 2025 % Result : Theorem 3.88s 4.05s % Output : Proof 3.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : PUZ081^3 : TPTP v9.2.0. Released v3.6.0. % 0.03/0.14 % Command : duper %s % 0.15/0.36 % Computer : n017.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 20:56:38 EDT 2025 % 0.15/0.36 % CPUTime : % 3.88/4.05 SZS status Theorem for theBenchmark.p % 3.88/4.05 SZS output start Proof for theBenchmark.p % 3.88/4.05 Clause #0 (by assumption #[]): Eq (∀ (P : Iota), Not (Iff (knight P) (knave P))) True % 3.88/4.05 Clause #1 (by assumption #[]): Eq (∀ (P : Iota) (S : Prop), And (knight P) (says P S) → S) True % 3.88/4.05 Clause #2 (by assumption #[]): Eq (∀ (P : Iota) (S : Prop), And (knave P) (says P S) → Not S) True % 3.88/4.05 Clause #3 (by assumption #[]): Eq (says zoey (knave mel)) True % 3.88/4.05 Clause #5 (by assumption #[]): Eq (Not (Exists fun Knight => Exists fun Knave => And (knight Knight) (knave Knave))) True % 3.88/4.05 Clause #6 (by identity loobHoist #[3]): Or (Eq (says zoey True) True) (Eq (knave mel) False) % 3.88/4.05 Clause #7 (by identity boolHoist #[3]): Or (Eq (says zoey False) True) (Eq (knave mel) True) % 3.88/4.05 Clause #8 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (S : Prop), And (knight a) (says a S) → S) True % 3.88/4.05 Clause #9 (by clausification #[8]): ∀ (a : Iota) (a_1 : Prop), Eq (And (knight a) (says a a_1) → a_1) True % 3.88/4.05 Clause #10 (by clausification #[9]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (And (knight a) (says a a_1)) False) (Eq a_1 True) % 3.88/4.05 Clause #11 (by clausification #[10]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq (knight a_1) False) (Eq (says a_1 a) False)) % 3.88/4.05 Clause #13 (by identity boolHoist #[11]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq (knight a_1) False) (Or (Eq (says a_1 False) False) (Eq a True))) % 3.88/4.05 Clause #14 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (S : Prop), And (knave a) (says a S) → Not S) True % 3.88/4.05 Clause #15 (by clausification #[14]): ∀ (a : Iota) (a_1 : Prop), Eq (And (knave a) (says a a_1) → Not a_1) True % 3.88/4.05 Clause #16 (by clausification #[15]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (And (knave a) (says a a_1)) False) (Eq (Not a_1) True) % 3.88/4.05 Clause #17 (by clausification #[16]): ∀ (a : Prop) (a_1 : Iota), Or (Eq (Not a) True) (Or (Eq (knave a_1) False) (Eq (says a_1 a) False)) % 3.88/4.05 Clause #18 (by clausification #[17]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knave a) False) (Or (Eq (says a a_1) False) (Eq a_1 False)) % 3.88/4.05 Clause #19 (by identity loobHoist #[18]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knave a) False) (Or (Eq a_1 False) (Or (Eq (says a True) False) (Eq a_1 False))) % 3.88/4.05 Clause #21 (by eliminate duplicate literals #[19]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knave a) False) (Or (Eq a_1 False) (Eq (says a True) False)) % 3.88/4.05 Clause #22 (by clausification #[0]): ∀ (a : Iota), Eq (Not (Iff (knight a) (knave a))) True % 3.88/4.05 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Iff (knight a) (knave a)) False % 3.88/4.05 Clause #25 (by clausification #[23]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (knave a) True) % 3.88/4.05 Clause #31 (by superposition #[25, 6]): Or (Eq (knight mel) True) (Or (Eq (says zoey True) True) (Eq True False)) % 3.88/4.05 Clause #32 (by superposition #[25, 21]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knight a) True) (Or (Eq True False) (Or (Eq a_1 False) (Eq (says a True) False))) % 3.88/4.05 Clause #33 (by clausification #[31]): Or (Eq (knight mel) True) (Eq (says zoey True) True) % 3.88/4.05 Clause #34 (by eliminate duplicate literals #[13]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq (knight a_1) False) (Eq (says a_1 False) False)) % 3.88/4.05 Clause #35 (by clausification #[32]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knight a) True) (Or (Eq a_1 False) (Eq (says a True) False)) % 3.88/4.05 Clause #40 (by falseElim #[35]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (says a True) False) % 3.88/4.05 Clause #41 (by clausification #[5]): Eq (Exists fun Knight => Exists fun Knave => And (knight Knight) (knave Knave)) False % 3.88/4.05 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (Exists fun Knave => And (knight a) (knave Knave)) False % 3.88/4.05 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (And (knight a) (knave a_1)) False % 3.88/4.05 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq (knight a) False) (Eq (knave a_1) False) % 3.88/4.05 Clause #46 (by superposition #[40, 33]): Or (Eq (knight zoey) True) (Or (Eq (knight mel) True) (Eq False True)) % 3.88/4.05 Clause #47 (by clausification #[46]): Or (Eq (knight zoey) True) (Eq (knight mel) True) % 3.88/4.05 Clause #49 (by superposition #[47, 44]): ∀ (a : Iota), Or (Eq (knight mel) True) (Or (Eq True False) (Eq (knave a) False)) % 3.88/4.06 Clause #50 (by clausification #[49]): ∀ (a : Iota), Or (Eq (knight mel) True) (Eq (knave a) False) % 3.88/4.06 Clause #51 (by superposition #[50, 25]): ∀ (a : Iota), Or (Eq (knight mel) True) (Or (Eq (knight a) True) (Eq False True)) % 3.88/4.06 Clause #52 (by clausification #[51]): ∀ (a : Iota), Or (Eq (knight mel) True) (Eq (knight a) True) % 3.88/4.06 Clause #56 (by equality factoring #[52]): Or (Ne True True) (Eq (knight mel) True) % 3.88/4.06 Clause #57 (by clausification #[56]): Or (Eq (knight mel) True) (Or (Eq True False) (Eq True False)) % 3.88/4.06 Clause #59 (by clausification #[57]): Or (Eq (knight mel) True) (Eq True False) % 3.88/4.06 Clause #60 (by clausification #[59]): Eq (knight mel) True % 3.88/4.06 Clause #64 (by superposition #[60, 44]): ∀ (a : Iota), Or (Eq True False) (Eq (knave a) False) % 3.88/4.06 Clause #69 (by clausification #[64]): ∀ (a : Iota), Eq (knave a) False % 3.88/4.06 Clause #71 (by backward demodulation #[69, 7]): Or (Eq (says zoey False) True) (Eq False True) % 3.88/4.06 Clause #75 (by superposition #[69, 25]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq False True) % 3.88/4.06 Clause #76 (by clausification #[75]): ∀ (a : Iota), Eq (knight a) True % 3.88/4.06 Clause #78 (by backward demodulation #[76, 34]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq True False) (Eq (says a_1 False) False)) % 3.88/4.06 Clause #82 (by clausification #[71]): Eq (says zoey False) True % 3.88/4.06 Clause #85 (by clausification #[78]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Eq (says a_1 False) False) % 3.88/4.06 Clause #86 (by superposition #[85, 82]): ∀ (a : Prop), Or (Eq a True) (Eq False True) % 3.88/4.06 Clause #87 (by clausification #[86]): ∀ (a : Prop), Eq a True % 3.88/4.06 Clause #89 (by falseElim #[87]): False % 3.88/4.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------